Question

в автопарку було вантажівок у 6 разів більше,ніж легкових автомобілів. Після того як у рейс вийшло 23 вантажівок і 10 легкових автомобілів,в автопарку залишилося вантажних автомобілів на 17 більше,ніж легкових. Скільки легкових та скільки вантажних автомобілів було в автопарку спочатку?

Answer 1

                                      Было         Стало

Грузовые машины        6х             6х - 23

Легковые машины         х               х - 10

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Уравнение:

6х - 23 = х - 10 + 17

6х - х = 7 + 23

5х = 30

х = 30 : 5

х = 6 - легковые машины

6х = 6 · 6 = 36 - грузовые машины

Ответ: 6 легковых и 36 грузовых.

Answer 2

To solve this problem, let's break it down step by step.

Let's assume the number of passenger cars in the fleet is represented by x and the number of trucks is represented by y.

According to the information given, the number of trucks in the fleet is 6 times greater than the number of passenger cars. This can be expressed as:

y = 6x ---(Equation 1)

Next, it is stated that after 23 trucks and 10 passenger cars went on a trip, there were 17 more trucks than passenger cars left in the fleet. This can be expressed as:

y - 23 = x - 10 + 17 ---(Equation 2)

Now, we can solve the system of equations formed by Equation 1 and Equation 2 to find the initial number of passenger cars and trucks in the fleet.

Substituting the value of y from Equation 1 into Equation 2, we get:

6x - 23 = x - 10 + 17

Simplifying the equation:

5x = 50

Dividing both sides by 5:

x = 10

Substituting the value of x back into Equation 1, we can find the value of y:

y = 6x = 6 * 10 = 60

Therefore, there were initially 10 passenger cars and 60 trucks in the fleet.

Please let me know if you need any further assistance!